Pith Number

pith:I3YPB4XA

pith:2022:I3YPB4XA4JR4HW3P7I7XCTLSST

not attested not anchored not stored refs pending

EF21-P and Friends: Improved Theoretical Communication Complexity for Distributed Optimization with Bidirectional Compression

Alexander Tyurin, Kaja Gruntkowska, Peter Richt\'arik

arxiv:2209.15218 v2 · 2022-09-30 · math.OC · cs.DC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I3YPB4XA4JR4HW3P7I7XCTLSST}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T06:11:57.244047Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46f0f0f2e0e263c3db6ffa3f714d7294c62d16e1e440ee8193342e8d41612a1d

Aliases

arxiv: 2209.15218 · arxiv_version: 2209.15218v2 · doi: 10.48550/arxiv.2209.15218 · pith_short_12: I3YPB4XA4JR4 · pith_short_16: I3YPB4XA4JR4HW3P · pith_short_8: I3YPB4XA

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/I3YPB4XA4JR4HW3P7I7XCTLSST \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 46f0f0f2e0e263c3db6ffa3f714d7294c62d16e1e440ee8193342e8d41612a1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "948d8686829675c0f18802db62d96662fae7ae8a0349270e78a387ab6df5aa38",
    "cross_cats_sorted": [
      "cs.DC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2022-09-30T04:14:49Z",
    "title_canon_sha256": "c5d019be037cb68891d9407d0e428a05eb318017764129887f7209e7069d9de7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.15218",
    "kind": "arxiv",
    "version": 2
  }
}